Pandas Profiling Report

Dataset statistics

Number of variables	16
Number of observations	267
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	33.5 KiB
Average record size in memory	128.5 B

Variable types

NUM	16

Warnings

`W_FEMALE` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`AA_FEMALE` is highly correlated with `W_FEMALE` and 4 other fields	High correlation
`MALE` is highly correlated with `FEMALE`	High correlation
`FEMALE` is highly correlated with `MALE`	High correlation
`AA_MALE` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`W_MALE` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`H_MALE` is highly correlated with `H_Female` and 1 other fields	High correlation
`H_Female` is highly correlated with `H_MALE` and 1 other fields	High correlation
`AA` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`H` is highly correlated with `H_Female` and 1 other fields	High correlation
`W` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`df_index` has unique values	Unique
`ECONOMICALLY_DISADVANTAGED` has unique values	Unique
`AA_MALE` has unique values	Unique
`W_MALE` has unique values	Unique
`AA` has unique values	Unique

Reproduction

Analysis started	2020-12-08 17:24:47.862755
Analysis finished	2020-12-08 17:25:24.835797
Duration	36.97 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

df_index
Real number (ℝ_≥0)

UNIQUE

Distinct	267
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	159.6816479
Minimum	0
Maximum	321
Zeros	1
Zeros (%)	0.4%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	14.6
Q1	85
median	158
Q3	229.5
95-th percentile	307.7
Maximum	321
Range	321
Interquartile range (IQR)	144.5

Descriptive statistics

Standard deviation	91.96640323
Coefficient of variation (CV)	0.5759359602
Kurtosis	-1.081885876
Mean	159.6816479
Median Absolute Deviation (MAD)	72
Skewness	0.04716173297
Sum	42635
Variance	8457.819324
Monotocity	Strictly increasing

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
321	1	0.4%
104	1	0.4%
120	1	0.4%
119	1	0.4%
118	1	0.4%
117	1	0.4%
116	1	0.4%
115	1	0.4%
114	1	0.4%
113	1	0.4%
Other values (257)	257	96.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	0.4%
1	1	0.4%
2	1	0.4%
3	1	0.4%
4	1	0.4%

Value	Count	Frequency (%)
321	1	0.4%
320	1	0.4%
319	1	0.4%
318	1	0.4%
317	1	0.4%

grad_rate
Real number (ℝ_≥0)

Distinct	29
Distinct (%)	10.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.9171535581
Minimum	0.64
Maximum	0.99
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.64
5-th percentile	0.773
Q1	0.9
median	0.94
Q3	0.96
95-th percentile	0.98
Maximum	0.99
Range	0.35
Interquartile range (IQR)	0.06

Descriptive statistics

Standard deviation	0.0663335359
Coefficient of variation (CV)	0.07232544138
Kurtosis	4.416105273
Mean	0.9171535581
Median Absolute Deviation (MAD)	0.03
Skewness	-1.979519562
Sum	244.88
Variance	0.004400137985
Monotocity	Not monotonic

Histogram with fixed size bins (bins=29)

Value	Count	Frequency (%)
0.96	33	12.4%
0.94	32	12.0%
0.97	27	10.1%
0.92	25	9.4%
0.93	20	7.5%
0.95	18	6.7%
0.98	18	6.7%
0.91	15	5.6%
0.9	12	4.5%
0.88	9	3.4%
Other values (19)	58	21.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.64	2	0.7%
0.65	1	0.4%
0.66	1	0.4%
0.69	2	0.7%
0.72	2	0.7%

Value	Count	Frequency (%)
0.99	8	3.0%
0.98	18	6.7%
0.97	27	10.1%
0.96	33	12.4%
0.95	18	6.7%

TOTAL
Real number (ℝ_≥0)

Distinct	248
Distinct (%)	92.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	947.2059925
Minimum	67
Maximum	2411
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	67
5-th percentile	283.4
Q1	522
median	833
Q3	1255.5
95-th percentile	2070.4
Maximum	2411
Range	2344
Interquartile range (IQR)	733.5

Descriptive statistics

Standard deviation	548.8491366
Coefficient of variation (CV)	0.5794401016
Kurtosis	-0.1834135175
Mean	947.2059925
Median Absolute Deviation (MAD)	352
Skewness	0.7583994564
Sum	252904
Variance	301235.3747
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
757	2	0.7%
488	2	0.7%
847	2	0.7%
833	2	0.7%
830	2	0.7%
707	2	0.7%
818	2	0.7%
407	2	0.7%
1313	2	0.7%
914	2	0.7%
Other values (238)	247	92.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
67	1	0.4%
70	1	0.4%
75	1	0.4%
88	1	0.4%
109	1	0.4%

Value	Count	Frequency (%)
2411	1	0.4%
2329	1	0.4%
2295	1	0.4%
2288	1	0.4%
2287	1	0.4%

ECONOMICALLY_DISADVANTAGED
Real number (ℝ_≥0)

UNIQUE

Distinct	267
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.2966413681
Minimum	0.007798440312
Maximum	0.8259911894
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.007798440312
5-th percentile	0.06907862408
Q1	0.2107418513
median	0.2798264642
Q3	0.3682626054
95-th percentile	0.5893400074
Maximum	0.8259911894
Range	0.8181927491
Interquartile range (IQR)	0.1575207542

Descriptive statistics

Standard deviation	0.1447872373
Coefficient of variation (CV)	0.4880884897
Kurtosis	1.593079635
Mean	0.2966413681
Median Absolute Deviation (MAD)	0.07982646421
Skewness	0.8587220619
Sum	79.20324527
Variance	0.02096334409
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.3333333333	1	0.4%
0.3041958042	1	0.4%
0.3691099476	1	0.4%
0.3838630807	1	0.4%
0.2734478203	1	0.4%
0.1051108968	1	0.4%
0.3404255319	1	0.4%
0.2401902497	1	0.4%
0.2578947368	1	0.4%
0.2873563218	1	0.4%
Other values (257)	257	96.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.007798440312	1	0.4%
0.01066816395	1	0.4%
0.01557093426	1	0.4%
0.02506963788	1	0.4%
0.02869518138	1	0.4%

Value	Count	Frequency (%)
0.8259911894	1	0.4%
0.7868561279	1	0.4%
0.7664015905	1	0.4%
0.7301854975	1	0.4%
0.7094155844	1	0.4%

FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	263
Distinct (%)	98.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.4869020502
Minimum	0.309352518
Maximum	0.6666666667
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.309352518
5-th percentile	0.4512847241
Q1	0.4711709114
median	0.4846686449
Q3	0.4990381832
95-th percentile	0.525574635
Maximum	0.6666666667
Range	0.3573141487
Interquartile range (IQR)	0.02786727176

Descriptive statistics

Standard deviation	0.03174991593
Coefficient of variation (CV)	0.06520801446
Kurtosis	11.20015327
Mean	0.4869020502
Median Absolute Deviation (MAD)	0.01416504778
Skewness	0.9255173248
Sum	130.0028474
Variance	0.001008057162
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.4821428571	3	1.1%
0.5	2	0.7%
0.5217391304	2	0.7%
0.5223880597	1	0.4%
0.4756446991	1	0.4%
0.4560747664	1	0.4%
0.4710042433	1	0.4%
0.4428571429	1	0.4%
0.4859708193	1	0.4%
0.5213675214	1	0.4%
Other values (253)	253	94.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.309352518	1	0.4%
0.3769230769	1	0.4%
0.3954983923	1	0.4%
0.4323607427	1	0.4%
0.4387211368	1	0.4%

Value	Count	Frequency (%)
0.6666666667	1	0.4%
0.6452513966	1	0.4%
0.6342592593	1	0.4%
0.5968992248	1	0.4%
0.5909090909	1	0.4%

H_Female
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	263
Distinct (%)	98.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.03632768463
Minimum	0.002118644068
Maximum	0.17114788
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.002118644068
5-th percentile	0.005365477763
Q1	0.01353619339
median	0.0250990753
Q3	0.04697363256
95-th percentile	0.1111404831
Maximum	0.17114788
Range	0.169029236
Interquartile range (IQR)	0.03343743917

Descriptive statistics

Standard deviation	0.03455007583
Coefficient of variation (CV)	0.9510673796
Kurtosis	3.746723204
Mean	0.03632768463
Median Absolute Deviation (MAD)	0.01293362518
Skewness	1.927885791
Sum	9.699491797
Variance	0.00119370774
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.003752345216	2	0.7%
0.005025125628	2	0.7%
0.009900990099	2	0.7%
0.01061007958	2	0.7%
0.00790513834	1	0.4%
0.1286727457	1	0.4%
0.06268784886	1	0.4%
0.01768707483	1	0.4%
0.0675944334	1	0.4%
0.006756756757	1	0.4%
Other values (253)	253	94.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.002118644068	1	0.4%
0.002202643172	1	0.4%
0.002277904328	1	0.4%
0.003174603175	1	0.4%
0.003752345216	2	0.7%

Value	Count	Frequency (%)
0.17114788	1	0.4%
0.1693227092	1	0.4%
0.1632889404	1	0.4%
0.1613070539	1	0.4%
0.1560283688	1	0.4%

AA_FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	266
Distinct (%)	99.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.09856105154
Minimum	0.000761614623
Maximum	0.4991735537
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.000761614623
5-th percentile	0.004414808682
Q1	0.0133601071
median	0.03802938634
Q3	0.123181432
95-th percentile	0.4113362163
Maximum	0.4991735537
Range	0.4984119391
Interquartile range (IQR)	0.1098213249

Descriptive statistics

Standard deviation	0.1280305032
Coefficient of variation (CV)	1.298996928
Kurtosis	1.764736264
Mean	0.09856105154
Median Absolute Deviation (MAD)	0.03010074412
Skewness	1.681398458
Sum	26.31580076
Variance	0.01639180975
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.01098901099	2	0.7%
0.01119402985	1	0.4%
0.4085365854	1	0.4%
0.07345225603	1	0.4%
0.1983240223	1	0.4%
0.4757709251	1	0.4%
0.001422475107	1	0.4%
0.04022988506	1	0.4%
0.02059925094	1	0.4%
0.06287227002	1	0.4%
Other values (256)	256	95.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.000761614623	1	0.4%
0.001422475107	1	0.4%
0.001964636542	1	0.4%
0.002790697674	1	0.4%
0.002976190476	1	0.4%

Value	Count	Frequency (%)
0.4991735537	1	0.4%
0.4806070826	1	0.4%
0.4757709251	1	0.4%
0.4744525547	1	0.4%
0.4733606557	1	0.4%

W_FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	266
Distinct (%)	99.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.3410001682
Minimum	0.001776198934
Maximum	0.6
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.001776198934
5-th percentile	0.0137908778
Q1	0.2807330732
median	0.3913924051
Q3	0.4439639946
95-th percentile	0.4700716309
Maximum	0.6
Range	0.5982238011
Interquartile range (IQR)	0.1632309214

Descriptive statistics

Standard deviation	0.1410781168
Coefficient of variation (CV)	0.4137186136
Kurtosis	0.3064158766
Mean	0.3410001682
Median Absolute Deviation (MAD)	0.05987878138
Skewness	-1.181485424
Sum	91.04704491
Variance	0.01990303504
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.4444444444	2	0.7%
0.4583333333	1	0.4%
0.4418604651	1	0.4%
0.399026764	1	0.4%
0.3772893773	1	0.4%
0.2664092664	1	0.4%
0.3516483516	1	0.4%
0.03660130719	1	0.4%
0.02786994028	1	0.4%
0.4223140496	1	0.4%
Other values (256)	256	95.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.001776198934	1	0.4%
0.001915708812	1	0.4%
0.002202643172	1	0.4%
0.003305785124	1	0.4%
0.003350083752	1	0.4%

Value	Count	Frequency (%)
0.6	1	0.4%
0.537037037	1	0.4%
0.5194805195	1	0.4%
0.5113636364	1	0.4%
0.4945652174	1	0.4%

MALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	263
Distinct (%)	98.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.5130979498
Minimum	0.3333333333
Maximum	0.690647482
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.3333333333
5-th percentile	0.474425365
Q1	0.5009618168
median	0.5153313551
Q3	0.5288290886
95-th percentile	0.5487152759
Maximum	0.690647482
Range	0.3573141487
Interquartile range (IQR)	0.02786727176

Descriptive statistics

Standard deviation	0.03174991593
Coefficient of variation (CV)	0.06187885948
Kurtosis	11.20015327
Mean	0.5130979498
Median Absolute Deviation (MAD)	0.01416504778
Skewness	-0.9255173248
Sum	136.9971526
Variance	0.001008057162
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5178571429	3	1.1%
0.5	2	0.7%
0.4782608696	2	0.7%
0.4776119403	1	0.4%
0.4949392713	1	0.4%
0.5348837209	1	0.4%
0.5515151515	1	0.4%
0.5085348506	1	0.4%
0.4949324324	1	0.4%
0.5124851367	1	0.4%
Other values (253)	253	94.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.3333333333	1	0.4%
0.3547486034	1	0.4%
0.3657407407	1	0.4%
0.4031007752	1	0.4%
0.4090909091	1	0.4%

Value	Count	Frequency (%)
0.690647482	1	0.4%
0.6230769231	1	0.4%
0.6045016077	1	0.4%
0.5676392573	1	0.4%
0.5612788632	1	0.4%

AA_MALE
Real number (ℝ_≥0)

HIGH CORRELATION
UNIQUE

Distinct	267
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.09829004423
Minimum	0.001715265866
Maximum	0.5044052863
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.001715265866
5-th percentile	0.004799809028
Q1	0.01596863645
median	0.04444444444
Q3	0.1277951074
95-th percentile	0.3965589714
Maximum	0.5044052863
Range	0.5026900205
Interquartile range (IQR)	0.1118264709

Descriptive statistics

Standard deviation	0.1244815951
Coefficient of variation (CV)	1.266472063
Kurtosis	1.80429017
Mean	0.09829004423
Median Absolute Deviation (MAD)	0.03424036281
Skewness	1.673809331
Sum	26.24344181
Variance	0.01549566752
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.009328358209	1	0.4%
0.08016443988	1	0.4%
0.01012461059	1	0.4%
0.007610350076	1	0.4%
0.01058201058	1	0.4%
0.01013513514	1	0.4%
0.01573033708	1	0.4%
0.002463054187	1	0.4%
0.002012072435	1	0.4%
0.1977077364	1	0.4%
Other values (257)	257	96.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.001715265866	1	0.4%
0.001869158879	1	0.4%
0.002012072435	1	0.4%
0.002118644068	1	0.4%
0.002252252252	1	0.4%

Value	Count	Frequency (%)
0.5044052863	1	0.4%
0.5026642984	1	0.4%
0.4707792208	1	0.4%
0.4692622951	1	0.4%
0.4603709949	1	0.4%

W_MALE
Real number (ℝ_≥0)

HIGH CORRELATION
UNIQUE

Distinct	267
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.3638259282
Minimum	0.002994011976
Maximum	0.5466237942
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.002994011976
5-th percentile	0.02343597263
Q1	0.2985623521
median	0.4194444444
Q3	0.46965415
95-th percentile	0.5052575377
Maximum	0.5466237942
Range	0.5436297822
Interquartile range (IQR)	0.1710917979

Descriptive statistics

Standard deviation	0.1457406886
Coefficient of variation (CV)	0.4005780713
Kurtosis	0.3953528951
Mean	0.3638259282
Median Absolute Deviation (MAD)	0.06383581033
Skewness	-1.219270557
Sum	97.14152282
Variance	0.02124034831
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.4722222222	1	0.4%
0.01340996169	1	0.4%
0.4108264862	1	0.4%
0.4509803922	1	0.4%
0.4893203883	1	0.4%
0.4923469388	1	0.4%
0.457433291	1	0.4%
0.004268292683	1	0.4%
0.4374501992	1	0.4%
0.03660130719	1	0.4%
Other values (257)	257	96.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.002994011976	1	0.4%
0.003831417625	1	0.4%
0.004268292683	1	0.4%
0.004405286344	1	0.4%
0.005025125628	1	0.4%

Value	Count	Frequency (%)
0.5466237942	1	0.4%
0.5240740741	1	0.4%
0.5222222222	1	0.4%
0.5204188482	1	0.4%
0.5180102916	1	0.4%

H_MALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	263
Distinct (%)	98.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.03996564158
Minimum	0.001860465116
Maximum	0.1933815926
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.001860465116
5-th percentile	0.007035006218
Q1	0.01541100409
median	0.02572347267
Q3	0.04689070382
95-th percentile	0.1192649089
Maximum	0.1933815926
Range	0.1915211274
Interquartile range (IQR)	0.03147969973

Descriptive statistics

Standard deviation	0.03802549281
Coefficient of variation (CV)	0.951454582
Kurtosis	3.665872705
Mean	0.03996564158
Median Absolute Deviation (MAD)	0.01378079751
Skewness	1.924442604
Sum	10.6708263
Variance	0.001445938103
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.02272727273	3	1.1%
0.02197802198	2	0.7%
0.02027027027	2	0.7%
0.1194029851	1	0.4%
0.05244996549	1	0.4%
0.05128205128	1	0.4%
0.03639973527	1	0.4%
0.01271186441	1	0.4%
0.01083032491	1	0.4%
0.1189427313	1	0.4%
Other values (253)	253	94.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.001860465116	1	0.4%
0.002375296912	1	0.4%
0.003154574132	1	0.4%
0.003752345216	1	0.4%
0.00395256917	1	0.4%

Value	Count	Frequency (%)
0.1933815926	1	0.4%
0.1877394636	1	0.4%
0.1784232365	1	0.4%
0.178343949	1	0.4%
0.1749408983	1	0.4%

AA
Real number (ℝ_≥0)

HIGH CORRELATION
UNIQUE

Distinct	267
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.1968510958
Minimum	0.005145797599
Maximum	0.9801762115
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.005145797599
5-th percentile	0.00978701994
Q1	0.03110227261
median	0.08121019108
Q3	0.2461306598
95-th percentile	0.823879973
Maximum	0.9801762115
Range	0.9750304139
Interquartile range (IQR)	0.2150283872

Descriptive statistics

Standard deviation	0.2514253113
Coefficient of variation (CV)	1.277236026
Kurtosis	1.723118367
Mean	0.1968510958
Median Absolute Deviation (MAD)	0.06234226655
Skewness	1.66703992
Sum	52.55924257
Variance	0.06321468715
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.006944444444	1	0.4%
0.05604203152	1	0.4%
0.06839186691	1	0.4%
0.02027027027	1	0.4%
0.02251407129	1	0.4%
0.03898734177	1	0.4%
0.05997931748	1	0.4%
0.03398328691	1	0.4%
0.05795918367	1	0.4%
0.03438789546	1	0.4%
Other values (257)	257	96.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.005145797599	1	0.4%
0.005607476636	1	0.4%
0.005689900427	1	0.4%
0.006092916984	1	0.4%
0.006711409396	1	0.4%

Value	Count	Frequency (%)
0.9801762115	1	0.4%
0.9454545455	1	0.4%
0.9426229508	1	0.4%
0.9409780776	1	0.4%
0.9282094595	1	0.4%

H
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	265
Distinct (%)	99.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.07629332621
Minimum	0.007125890736
Maximum	0.3645294726
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.007125890736
5-th percentile	0.01422568886
Q1	0.02926154565
median	0.0509383378
Q3	0.09067816295
95-th percentile	0.2318601733
Maximum	0.3645294726
Range	0.3574035819
Interquartile range (IQR)	0.0614166173

Descriptive statistics

Standard deviation	0.07177226387
Coefficient of variation (CV)	0.9407410508
Kurtosis	3.812364666
Mean	0.07629332621
Median Absolute Deviation (MAD)	0.02642220877
Skewness	1.954906438
Sum	20.3703181
Variance	0.005151257861
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.02040816327	2	0.7%
0.02702702703	2	0.7%
0.05037313433	1	0.4%
0.02364864865	1	0.4%
0.02055498458	1	0.4%
0.07389635317	1	0.4%
0.1806136681	1	0.4%
0.05688622754	1	0.4%
0.1296296296	1	0.4%
0.04608294931	1	0.4%
Other values (255)	255	95.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.007125890736	1	0.4%
0.007504690432	1	0.4%
0.009111617312	1	0.4%
0.009247027741	1	0.4%
0.009523809524	1	0.4%

Value	Count	Frequency (%)
0.3645294726	1	0.4%
0.3429118774	1	0.4%
0.3416328894	1	0.4%
0.3397302905	1	0.4%
0.3309692671	1	0.4%

W
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	266
Distinct (%)	99.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.7048260964
Minimum	0.005747126437
Maximum	0.9753694581
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.005747126437
5-th percentile	0.04081219168
Q1	0.5893398787
median	0.8169761273
Q3	0.9137326023
95-th percentile	0.9610513934
Maximum	0.9753694581
Range	0.9696223317
Interquartile range (IQR)	0.3243927236

Descriptive statistics

Standard deviation	0.2821088473
Coefficient of variation (CV)	0.4002531245
Kurtosis	0.4841737248
Mean	0.7048260964
Median Absolute Deviation (MAD)	0.1127290881
Skewness	-1.289871136
Sum	188.1885677
Variance	0.07958540171
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.9464285714	2	0.7%
0.9123134328	1	0.4%
0.1228878648	1	0.4%
0.9666666667	1	0.4%
0.8650519031	1	0.4%
0.914556962	1	0.4%
0.9038817006	1	0.4%
0.6275659824	1	0.4%
0.7228116711	1	0.4%
0.911227154	1	0.4%
Other values (256)	256	95.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.005747126437	1	0.4%
0.006607929515	1	0.4%
0.00837520938	1	0.4%
0.008982035928	1	0.4%
0.009146341463	1	0.4%

Value	Count	Frequency (%)
0.9753694581	1	0.4%
0.9714964371	1	0.4%
0.9698492462	1	0.4%
0.968220339	1	0.4%
0.9672505712	1	0.4%

Expend_per_pupil
Real number (ℝ_≥0)

Distinct	266
Distinct (%)	99.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	9684.601348
Minimum	5304.33
Maximum	20356.1
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	5304.33
5-th percentile	7688.027
Q1	8401.245
median	9165.83
Q3	10528.48
95-th percentile	12926.907
Maximum	20356.1
Range	15051.77
Interquartile range (IQR)	2127.235

Descriptive statistics

Standard deviation	2077.675623
Coefficient of variation (CV)	0.2145339336
Kurtosis	8.260019884
Mean	9684.601348
Median Absolute Deviation (MAD)	885.87
Skewness	2.227728413
Sum	2585788.56
Variance	4316735.993
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
5449.59	2	0.7%
10789.43	1	0.4%
9136.43	1	0.4%
12407.37	1	0.4%
8364.25	1	0.4%
8652.22	1	0.4%
11513.85	1	0.4%
9016.75	1	0.4%
8696.56	1	0.4%
8266.13	1	0.4%
Other values (256)	256	95.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
5304.33	1	0.4%
5449.59	2	0.7%
5541.14	1	0.4%
6949.99	1	0.4%
7273.6	1	0.4%

Value	Count	Frequency (%)
20356.1	1	0.4%
20187.79	1	0.4%
20049.13	1	0.4%
18582.45	1	0.4%
18237.58	1	0.4%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	df_index	grad_rate	TOTAL	ECONOMICALLY_DISADVANTAGED	FEMALE	H_Female	AA_FEMALE	W_FEMALE	MALE	AA_MALE	W_MALE	H_MALE	AA	H	W	Expend_per_pupil
0	0	0.96	1075	0.247442	0.482791	0.008372	0.002791	0.465116	0.517209	0.007442	0.500465	0.001860	0.010233	0.010233	0.965581	9171.37
1	1	0.95	1120	0.339286	0.451786	0.010714	0.020536	0.409821	0.548214	0.019643	0.505357	0.016071	0.040179	0.026786	0.915179	9523.76
2	2	0.92	1406	0.199858	0.491465	0.044097	0.070413	0.351351	0.508535	0.085349	0.346373	0.046942	0.155761	0.091038	0.697724	12546.31
3	3	0.98	481	0.193347	0.442827	0.037422	0.016632	0.382536	0.557173	0.027027	0.482328	0.037422	0.043659	0.074844	0.864865	9106.97
4	4	0.89	1506	0.371846	0.490704	0.169323	0.086321	0.228420	0.509296	0.083001	0.255644	0.160691	0.169323	0.330013	0.484064	7418.07
5	5	0.91	534	0.237828	0.488764	0.056180	0.020599	0.408240	0.511236	0.022472	0.423221	0.059925	0.043071	0.116105	0.831461	8279.85
6	6	0.94	637	0.326531	0.486656	0.006279	0.010989	0.461538	0.513344	0.028257	0.463108	0.012559	0.039246	0.018838	0.924647	9673.19
7	7	0.93	515	0.386408	0.448544	0.021359	0.009709	0.415534	0.551456	0.007767	0.489320	0.038835	0.017476	0.060194	0.904854	10027.42
8	8	0.93	1396	0.207736	0.493553	0.035817	0.009312	0.437679	0.506447	0.014327	0.449140	0.033668	0.023639	0.069484	0.886819	9268.68
9	9	0.93	1667	0.151170	0.499700	0.017397	0.008398	0.469106	0.500300	0.017397	0.457109	0.018596	0.025795	0.035993	0.926215	8945.95

Last rows

	df_index	grad_rate	TOTAL	ECONOMICALLY_DISADVANTAGED	FEMALE	H_Female	AA_FEMALE	W_FEMALE	MALE	AA_MALE	W_MALE	H_MALE	AA	H	W	Expend_per_pupil
257	312	0.94	1847	0.028695	0.517596	0.045479	0.027071	0.414185	0.482404	0.021657	0.400108	0.044396	0.048728	0.089875	0.814293	8335.75
258	313	0.98	166	0.060241	0.542169	0.036145	0.012048	0.463855	0.457831	0.024096	0.391566	0.024096	0.036145	0.060241	0.855422	11230.73
259	314	0.97	1082	0.032348	0.479667	0.026802	0.030499	0.388170	0.520333	0.037893	0.406654	0.035120	0.068392	0.061922	0.794824	8390.27
260	315	0.98	1667	0.007798	0.517696	0.020996	0.032394	0.371326	0.482304	0.034193	0.349130	0.025795	0.066587	0.046791	0.720456	7977.52
261	316	0.96	1533	0.045010	0.496412	0.043053	0.029354	0.400522	0.503588	0.025440	0.426614	0.035877	0.054795	0.078930	0.827136	8346.05
262	317	0.94	1895	0.247493	0.486016	0.058575	0.078100	0.335620	0.513984	0.079683	0.362005	0.063852	0.157784	0.122427	0.697625	7842.51
263	318	0.97	2220	0.071171	0.487838	0.018018	0.044595	0.407207	0.512162	0.050450	0.420270	0.024775	0.095045	0.042793	0.827477	7519.21
264	319	0.96	571	0.185639	0.460595	0.005254	0.021016	0.432574	0.539405	0.035026	0.476357	0.021016	0.056042	0.026270	0.908932	10360.40
265	320	0.97	1935	0.109044	0.473902	0.027390	0.050646	0.375711	0.526098	0.047028	0.430491	0.033592	0.097674	0.060982	0.806202	7995.72
266	321	0.94	75	0.120000	0.666667	0.026667	0.013333	0.600000	0.333333	0.013333	0.293333	0.013333	0.026667	0.040000	0.893333	20049.13

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows